1.Convert the following metric measures from mcg to mg by moving the decimal: 250 mcg = __ mg
2.The value of n is a distance of 3 units from 1(1)/(2) on a number line. Click on the number line to show the possible values of n.
The correct answer and explanation is:
1. Converting mcg to mg:
To convert micrograms (mcg) to milligrams (mg), you move the decimal point three places to the left. This is because 1 milligram (mg) is equal to 1,000 micrograms (mcg).
Step-by-step conversion:
- 250 mcg = 0.250 mg
So, 250 micrograms (mcg) is equivalent to 0.250 milligrams (mg).
2. Understanding the value of n and its position on a number line:
We are given that the value of nn is a distance of 3 units from 1121 \frac{1}{2} (or 1.5) on a number line. The number line will show two possible positions for nn, because a distance of 3 units can either be to the left or the right of 1.5.
Step-by-step explanation:
- Start by identifying 1121 \frac{1}{2}, which is equal to 1.5, on the number line.
- Since nn is 3 units away from 1.5, there are two possible positions for nn:
- One position will be 3 units to the right of 1.5: 1.5+3=4.51.5 + 3 = 4.5.
- The other position will be 3 units to the left of 1.5: 1.5−3=−1.51.5 – 3 = -1.5.
Therefore, the possible values of nn are 4.5 and -1.5.
Explanation:
When we deal with distances on a number line, the concept of absolute value comes into play. The “distance” from any number represents how far that number is from a fixed point, regardless of direction. So, if we are told that a point is a certain distance from another point on the number line, we consider both directions: to the left and to the right.
In this case, nn is a distance of 3 units from 1.5. Thus, nn can either be to the right (positive direction) or to the left (negative direction) of 1.5. This results in two possible values for nn, both of which are at a distance of 3 units from the point 1.51.5.
The calculation uses basic arithmetic addition and subtraction, reflecting how the number line works, with values increasing to the right and decreasing to the left.